Some articles on dimension, dimensions:
... If Z is a subset of 2ω, its Hausdorff dimension is ... The packing dimension of Z is ... Thus the effective Hausdorff and packing dimensions of a set are simply the classical Hausdorff and packing dimensions of (respectively) when we restrict our ...
... In the latter, the anomalous scaling dimension of an operator is the contribution of quantum mechanics to the classical scaling dimension of that operator ... The classical scaling dimension of an operator O is determined by dimensional analysis from the Lagrangian (in 4 spacetime dimensions this means dimension 1 for elementary bosonic fields ... form where g is a coupling constant, is the classical dimension, and is an ultraviolet cutoff (the maximal allowed energy in the loop integrals) ...
... removes redundant attributes, which are known in the normal flatten de-normalized dimensions ... Dimensions are strictly joined together in sub dimensions ... Single data (fact) table surrounded by multiple descriptive (dimension) tables Developers often don't normalize dimensions due to several facts ...
... Joseph Carens distinguishes three dimensions of citizenship in his book Culture, Citizenship, and Community ... Evenhandedness a legal, psychological and political dimension ... The legal dimension refers to the formal rights and duties to the political community to which one belongs, the psychological dimension refers to one’s ...
... In computational learning theory, the teaching dimension of a concept class C is defined to be, where is the minimum size of a witness set for c in C ... The teaching dimension of a finite concept class can be used to give a lower and an upper bound on the membership query cost of the concept class ... book "Extremal Combinatorics", a lower bound is given for the teaching dimension Let C be a concept class over a finite domain X ...
More definitions of "dimension":
- (noun): Magnitude or extent.
- (noun): One of three cartesian coordinates that determine a position in space.
- (noun): A construct whereby objects or individuals can be distinguished.
Synonyms: property, attribute
- (noun): The magnitude of something in a particular direction (especially length or width or height).
- (verb): Shape or form to required dimensions.
Famous quotes containing the word dimension:
“By intervening in the Vietnamese struggle the United States was attempting to fit its global strategies into a world of hillocks and hamlets, to reduce its majestic concerns for the containment of communism and the security of the Free World to a dimension where governments rose and fell as a result of arguments between two colonels wives.”
—Frances Fitzgerald (b. 1940)
“God cannot be seen: he is too bright for sight; nor grasped: he is too pure for touch; nor measured: for he is beyond all sense, infinite, measureless, his dimension known to himself alone.”
—Marcus Minucius Felix (2nd or 3rd cen. A.D.)
“Authority is the spiritual dimension of power because it depends upon faith in a system of meaning that decrees the necessity of the hierarchical order and so provides for the unity of imperative control.”
—Shoshana Zuboff (b. 1951)